In this work, a new iterative algorithm is presented to solve autonomous n-dimensional
fractional nonlinear systems analytically. The suggested scheme is combination of two …

Abstract Vieta-Lucas polynomials (VLPs) belong to the class of weighted orthogonal
polynomials, which can be used to effectively handle various natural and engineered …

In the last decade, the analysis of time-space fractional Bloch–Torrey equation has been
considered by different studies due to its applications in many fields. Since the analytical …

In this work, we have described the mathematical modeling of COVID-19 transmission using
fractional differential equations. The mathematical modeling of infectious disease goes back …

The behavior of beams with variable stiffness subjected to the action of variable loadings
(impulse or harmonic) is analyzed in this paper using the successive approximation method …

The purpose of this paper is to apply the fuzzy natural transform (FNT) for solving linear
fuzzy fractional ordinary differential equations (FFODEs) involving fuzzy Caputo's H …

The differential transform method (DTM) in two dimensions just used for obtaining solution of
those type of fractional partial differential equations (PDEs) which have solutions as …

In this study, the Successive Approximation Method (SAM), is employed for the numerical
analysis of vibrations of beams with variable stiffness under impulse or harmonic loading …

Physical applications involving time-fractional derivatives are reflecting some memory
characteristics. These inherited memories have been identified as a homotopy mapping of …

In this article, a numerical scheme was implemented for solving the integro-differential
equations (IDEs) with the weakly singular kernel by using a new scheme depend on the …